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Question-106167




Question Number 106167 by mohammad17 last updated on 03/Aug/20
Answered by bemath last updated on 03/Aug/20
→ { ((t^2 =(x/a))),((t=(y/(2a)))) :}  ⇔((y/(2a)))^2 = (x/a)⇒(y^2 /(4a^2 ))=(x/a)  y^2 = 4ax
$$\rightarrow\begin{cases}{\mathrm{t}^{\mathrm{2}} =\frac{\mathrm{x}}{\mathrm{a}}}\\{\mathrm{t}=\frac{\mathrm{y}}{\mathrm{2a}}}\end{cases} \\ $$$$\Leftrightarrow\left(\frac{\mathrm{y}}{\mathrm{2a}}\right)^{\mathrm{2}} =\:\frac{\mathrm{x}}{\mathrm{a}}\Rightarrow\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{4a}^{\mathrm{2}} }=\frac{\mathrm{x}}{\mathrm{a}} \\ $$$$\mathrm{y}^{\mathrm{2}} =\:\mathrm{4ax}\: \\ $$
Commented by mohammad17 last updated on 03/Aug/20
thank you sir
$${thank}\:{you}\:{sir} \\ $$
Answered by Aziztisffola last updated on 03/Aug/20

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